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255823904 = 25721931277
BaseRepresentation
bin11110011111110…
…01000000100000
3122211101012102102
433033321000200
51010442331104
641215105532
76224316200
oct1717710040
9584335372
10255823904
11121451316
12718122a8
13410014bb
1425d94400
15176d4a1e
hexf3f9020

255823904 has 144 divisors (see below), whose sum is σ = 638910720. Its totient is φ = 100154880.

The previous prime is 255823879. The next prime is 255823907. The reversal of 255823904 is 409328552.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (255823907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923414 + ... + 923690.

It is an arithmetic number, because the mean of its divisors is an integer number (4436880).

Almost surely, 2255823904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255823904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319455360).

255823904 is an abundant number, since it is smaller than the sum of its proper divisors (383086816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255823904 is a wasteful number, since it uses less digits than its factorization.

255823904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 255823904 is about 15994.4960533303. The cubic root of 255823904 is about 634.8147962585.

It can be divided in two parts, 2558 and 23904, that added together give a palindrome (26462).

The spelling of 255823904 in words is "two hundred fifty-five million, eight hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 277 304 392 434 496 532 554 589 608 784 868 931 992 1064 1108 1178 1519 1568 1736 1862 1939 2128 2216 2356 3038 3472 3724 3878 4123 4256 4432 4712 5263 6076 6944 7448 7756 8246 8587 8864 9424 10526 12152 13573 14896 15512 16492 17174 18848 21052 24304 27146 28861 29792 31024 32984 34348 36841 42104 48608 54292 57722 60109 62048 65968 68696 73682 84208 108584 115444 120218 131936 137392 147364 163153 168416 217168 230888 240436 257887 274784 294728 326306 420763 434336 461776 480872 515774 589456 652612 841526 923552 961744 1031548 1142071 1178912 1305224 1683052 1923488 2063096 2284142 2610448 3366104 4126192 4568284 5220896 6732208 7994497 8252384 9136568 13464416 15988994 18273136 31977988 36546272 63955976 127911952 255823904